Chapter 5: Q. 58 (page 351)

Use the following information to answer the next seven exercises. A distribution is given as $X ~ E x p (0.75)$ . What is the cumulative distribution function?

Short Answer

Expert verified

Then answer of cumulative distribution function is $(1 - e^{- 0.75 x})$

Step by step solution

Step 1: Theory of cumulative distribution function

Cumulative distribution function : Cumulative distribution function indicate the probability variables which value is less than X .

Formula of cumulative distribution function

As $X ~ e^{0.75}$

Probability of cumulative distribution function islocalid="1648209243750" $P (x < X) = 1 - e^{- m x}$

m= 0.75

Therefore,localid="1648209217370" $P (x < X) = 1 - e^{- 0.75 x}$ $1 - e^{- 0.75 x}$

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Use the following information to answer the next seven exercises. A distribution is given as $X ~ E x p (0.75)$ . What is the cumulative distribution function?

Short Answer

Step by step solution

Step 1: Theory of cumulative distribution function

Formula of cumulative distribution function

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Use the following information to answer the next seven exercises. A distribution is given as X~Exp(0.75). What is the cumulative distribution function?

Short Answer

Step by step solution

Step 1: Theory of cumulative distribution function

Formula of cumulative distribution function

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Use the following information to answer the next seven exercises. A distribution is given as $X ~ E x p (0.75)$ . What is the cumulative distribution function?